Activity 1 - Projectile at different angles 1. Open the PhET Interactive Simulations - Projectile Motion and click "Lab". Set the gravity to "9.80 m/s2" and the initial speed (vo) to any desired values. 2. Set the cannon's angle to 25" and the height to O m. Click the launch button and record the time of flight and range of the object. 3. Do four (4) more trials while changing the angle to 35, 45", 55", and 65". 4. Plot the (vo) sin(20) (y-axis) vs range (x-axis) graph using Excel and set the intercept to zero (0). (NOTE: Convert first your angles to radians before you apply the trigonometric function in Excel "=RADIANS(0DEGREES)") 5. Draw the best-fit line and get the equation of the best-fit line. The slope of the line represents your experimental value for the acceleration due to gravity. 6. Calculate the percentage error where your standard value is g = 9.80 m/s2.Activity 2 - Horizontal Launch 1. 1. Open the PhET Interactive Simulations - Projectile Motion and click "Lab". Set the gravity to "9.80 m/s2" and the initial speed (vo) to any desired values. 2. Set the cannon's angle to O" and the height (y) to 1 m. Click the launch button and record the time of flight and range of the object. 3. Do four (4) more trials while changing the height (y) of the cannon to 3 m, 5 m, 7 m, and 9 m. 4. Plot the 2y (y-axis) vs tz (x-axis) graph using Excel and set the intercept to zero (0) where t is the time of flight. 5. Draw the best-fit line and get the equation of the best-fit line. The slope of the line represents your experimental value for the acceleration due to gravity. Page 1 of 4 6. Calculate the percentage error where your standard value is g = 9.80 m/s2.PEST mm m 1. At what angle of projection is the range maximum? Prove it mathematically. 2. Show that the ranges of two projectiles red with the same speed at angles of projection that are complementary are equal. 3. Show mathematically that the trajectory of a projectile is parabolic